Real-time gravitational path integrals and holographic fluctuating hydrodynamics
Julio Virrueta (Jena U.)

I will discuss the real-time dynamics of metric perturbations around the AdS black hole and argue that the dynamic of these modes is captured by a set of designer scalars in the background geometry. Using these results I will obtain the real-time Gaussian effective action, which includes both the retarded response and the associated stochastic fluctuations. Finally, I will discuss extensions beyond linear response.